Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 559 · 40 sums

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

1. 1.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
2. 2.What is √3136? =
3. 3.What is the smallest whole number by which 108 must be divided to get a perfect cube?
4. 4.Find the compound interest on ₹18000 at 20% per year for 3 years, compounded every year (in ₹).
5. 5.A scooter is worth ₹40000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
6. 6.Use a² − b² = (a + b)(a − b) to find 39² − 25².
7. 7.What is 47²? =
8. 8.What is the value of 8³? =
9. 9.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
10. 10.Write 940 in standard form as 9.4 × 10ⁿ. What is n?
11. 11.What is the smallest whole number by which 486 must be multiplied to get a perfect square?
12. 12.What is the value of 2¹¹? =
13. 13.The sum of three consecutive whole numbers is 174. What is the smallest of them?
14. 14.Solve: 3p + 9 = 2p + 17. What is p?
15. 15.A town has 36000 people. The population grows by 10% every year. What will the population be after 3 years?
16. 16.What is 25²? =
17. 17.Use (a + b)² = a² + 2ab + b² to find 27².
18. 18.Use a² − b² = (a + b)(a − b) to find 57² − 4².
19. 19.Which of these is a perfect square? (a) 1259 (b) 1293 (c) 1225
20. 20.A trapezium has parallel sides of 7 cm and 20 cm, and the distance between them is 18 cm. What is its area (in square cm)?
21. 21.A cuboid is 8 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
22. 22.What is 19³? =
23. 23.What is the value of 10³ × 10⁻²? =
24. 24.What is 8³? =
25. 25.A room is 6 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
27. 27.Use (a − b)² = a² − 2ab + b² to find 63².
28. 28.A trapezium has an area of 48 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
29. 29.What is 35²? =
30. 30.Find the value of x² − y² when x = 12 and y = 4.
31. 31.Solve: 4(t − 5) = t + 1. What is t?
32. 32.Write 9.6 × 10⁻¹ as a decimal. =
33. 33.Write 4,900 in standard form as 4.9 × 10ⁿ. What is n?
34. 34.What is the value of (3/5)⁻²? =
35. 35.What is the value of 2² × 2⁻³? =
36. 36.Find the compound interest on ₹32500 at 4% per year for 2 years, compounded every year (in ₹).
37. 37.Write 22,00,000 in standard form as 2.2 × 10ⁿ. What is n?
38. 38.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
39. 39.What is 28²? =
40. 40.Use (a − b)² = a² − 2ab + b² to find 41².

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